A particle of mass 1 kg is projected from a tower of height 375 m with an initial velocity of 100 m-s at an angle 30- to the horizontal- Find its kinetic energy in joules just after the collision with ground if the collision is inelastic with e - 12 take g - 10 m-s2-

A particle of...

Question

A particle of mass $1 k g$ is projected from a tower of height $375 m$ with an initial velocity of $100 m / s$ at an angle $30^{\circ}$ to the horizontal. Find its kinetic energy in joules just after the collision with ground if the collision is inelastic with $e = \frac{1}{2}$ (take $g = 10 m / s^{2})$ .

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Solution

$tan 30^{\circ} = \frac{V_{y}}{V_{z}}$
vertical and horizontal component of velocities are equal and the horizontal component of velocity always remain equals, therefore
$V_{z} = 100 m / s$
$V_{y} = \frac{100}{\sqrt{3}}$
$K . E = \frac{m e (V_{y})^{r}}{2} - m g h - \frac{m (V_{z})^{2}}{2}$

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